Herbie run
| Date: | Friday, April 11th, 2025 |
|---|---|
| Commit: | 1485bc85 on chassis-platforms-cleanup |
| Seed: | 2025101 |
| Parameters: | 256 points for 4 iterations |
| Flags: | reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs default |
| Memory: | 162 585.8 MB |
Time bar (total: 2.5min)
| 25.1s | 44 550× | 2 | valid |
| 16.3s | 96 775× | 1 | valid |
| 14.5s | 145 970× | 0 | invalid |
| 10.0s | 5 785× | 5 | exit |
| 6.6s | 86 244× | 0 | valid |
| 3.3s | 3 595× | 3 | valid |
| 324.0ms | 4 047× | 0 | exit |
| 161.0ms | 1 106× | 1 | exit |
| 157.0ms | 137× | 4 | exit |
| 5.0ms | 4× | 4 | valid |
| 4.0ms | 2× | 2 | exit |
ival-tan: 12.3s (19.7% of total)ival-pow: 10.1s (16.1% of total)adjust: 7.1s (11.2% of total)ival-mult!: 4.3s (6.9% of total)ival-cos: 4.3s (6.8% of total)ival-log: 3.3s (5.3% of total)ival-sin: 2.9s (4.6% of total)ival-div!: 2.8s (4.5% of total)ival-sub!: 2.5s (4% of total)ival-exp: 2.3s (3.7% of total)ival-expm1: 2.1s (3.4% of total)ival-add!: 1.7s (2.8% of total)ival-sqrt: 1.6s (2.5% of total)ival-fabs: 1.5s (2.4% of total)ival-log1p: 1.2s (1.9% of total)ival-atan: 713.0ms (1.1% of total)ival-<: 551.0ms (0.9% of total)ival-and: 380.0ms (0.6% of total)ival-<=: 316.0ms (0.5% of total)ival-cbrt: 315.0ms (0.5% of total)ival-neg: 261.0ms (0.4% of total)ival-fmin: 74.0ms (0.1% of total)ival-assert: 71.0ms (0.1% of total)ival->: 1.0ms (0% of total)exact: 0.0ms (0% of total)| 260× | iter-limit |
| 107× | node-limit |
Compiled 2 610 567 to 227 475 computations (91.3% saved)
| 24× | fuel |
| 4× | done |
Compiled 11 154 to 2 369 computations (78.8% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4253 | 30 |
log.f64 | #f | sensitivity | 768 | 0 |
/.f64 | #f | u/u | 419 | 0 |
sqrt.f64 | #f | oflow-rescue | 414 | 0 |
+.f64 | #f | cancellation | 333 | 0 |
/.f64 | #f | u/n | 114 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 57 | 0 |
/.f64 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) | n/u | 28 | 0 |
| ↳ | (*.f64 b eps) | underflow | 125 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 130 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 125 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 232 | |
| ↳ | (*.f64 a eps) | underflow | 130 | |
sqrt.f64 | #f | uflow-rescue | 26 | 0 |
-.f64 | #f | nan-rescue | 15 | 0 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 4 | 0 |
| ↳ | (*.f64 x x) | overflow | 57 | |
exp.f64 | #f | sensitivity | 2 | 1 |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 1 | 0 |
/.f64 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | o/o | 1 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 1 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 1 | |
| ↳ | (exp.f64 x) | overflow | 1 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5225 | 15 |
| - | 153 | 1775 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5225 | 13 | 2 |
| - | 153 | 17 | 1758 |
| number | freq |
|---|---|
| 0 | 1790 |
| 1 | 4560 |
| 2 | 643 |
| 3 | 111 |
| 4 | 64 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.5s | 2 834× | 2 | valid |
| 975.0ms | 6 060× | 1 | valid |
| 385.0ms | 5 232× | 0 | valid |
| 121.0ms | 210× | 3 | valid |
Compiled 2 154 to 763 computations (64.6% saved)
ival-tan: 655.0ms (26.6% of total)adjust: 339.0ms (13.8% of total)ival-log: 233.0ms (9.5% of total)ival-exp: 184.0ms (7.5% of total)ival-cos: 169.0ms (6.9% of total)ival-sin: 152.0ms (6.2% of total)ival-div!: 138.0ms (5.6% of total)ival-pow: 125.0ms (5.1% of total)ival-mult!: 102.0ms (4.1% of total)ival-sub!: 78.0ms (3.2% of total)ival-sqrt: 65.0ms (2.6% of total)ival-log1p: 61.0ms (2.5% of total)ival-neg: 51.0ms (2.1% of total)ival-add!: 47.0ms (1.9% of total)ival-expm1: 27.0ms (1.1% of total)ival-atan: 21.0ms (0.9% of total)ival-cbrt: 16.0ms (0.6% of total)501 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 417.0ms | a | @ | inf | ((/ (/ (- (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (/ (- (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))))) (* b_2 b_2) b_2 (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (neg a) a c (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ b_2 a) -2 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (/ (+ (* (/ (* (* c c) a) (* b_2 b_2)) 1/8) (* 1/2 c)) b_2)) (/ (+ (* (/ (* (* c c) a) (* b_2 b_2)) 1/8) (* 1/2 c)) b_2) (+ (* (/ (* (* c c) a) (* b_2 b_2)) 1/8) (* 1/2 c)) (* (+ (* (* a (/ c (* b_2 b_2))) 1/8) 1/2) c) (+ (* (* a (/ c (* b_2 b_2))) 1/8) 1/2) (* a (/ c (* b_2 b_2))) (/ c (* b_2 b_2)) 1/8 1/2 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (/ b_2 (* c a)) (neg (sqrt (* (/ 1 (* c a)) -1))))) (+ (/ b_2 (* c a)) (neg (sqrt (* (/ 1 (* c a)) -1)))) (/ b_2 (* c a)) (* c a) (neg (sqrt (* (/ 1 (* c a)) -1))) (sqrt (* (/ 1 (* c a)) -1)) (* (/ 1 (* c a)) -1) (/ 1 (* c a)) 1 -1) |
| 117.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) (+ (* -1/2 x) (* 1/2 (/ x n))) -1/2 (* 1/2 (/ x n)) (/ x n) (pow x (/ 1 n)) (/ 1 n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (+ 1 x) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (+ 2 (/ (log (* x (+ 1 x))) n)) (/ (log (* x (+ 1 x))) n) (log (* x (+ 1 x))) (* x (+ 1 x)) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) n) (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x))) (/ (* (+ 1 x) (+ 1 x)) (* x x)) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n)) (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n) (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (pow (* 2 (log (+ 1 x))) 2) (* 2 (log (+ 1 x))) (* 1/2 (pow (* 2 (log x)) 2)) (pow (* 2 (log x)) 2) (* 2 (log x)) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n)) 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n) (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x))))) |
| 95.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) 3) (pow (log x) 3)) (+ (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) (- (pow (log x) 2) (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x))))) n)) (/ (/ (+ (pow (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) 3) (pow (log x) 3)) (+ (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) (- (pow (log x) 2) (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x))))) n) (/ (+ (pow (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) 3) (pow (log x) 3)) (+ (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) (- (pow (log x) 2) (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x))))) (+ (pow (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) 3) (pow (log x) 3)) (pow (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) 3) (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (+ (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) (- (pow (log x) 2) (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)))) (- (pow (log x) 2) (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x))) (* (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) 1 (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (* n n))) (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (* n n))) (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))))) (* 1/2 (/ 1 n)))) (/ 1 n))) (+ (* x (- (+ (* 1/2 (/ 1 (* n n))) (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))))) (* 1/2 (/ 1 n)))) (/ 1 n)) (- (+ (* 1/2 (/ 1 (* n n))) (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))))) (* 1/2 (/ 1 n))) (+ (* 1/2 (/ 1 (* n n))) (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))))) (/ 1 (* n n)) (* n n) (* x (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n))))) (- (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (* n n)))) (+ (* 1/6 (/ 1 (* (* n n) n))) (* 1/3 (/ 1 n))) 1/6 (/ 1 (* (* n n) n)) (* (* n n) n) (* 1/3 (/ 1 n)) 1/3 (/ 1 n) (* 1/2 (/ 1 (* n n))) (* 1/2 (/ 1 n)) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) n) (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) (/ (- (+ 1 (* -2 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n))) x) (- (+ 1 (* -2 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n))) (+ 1 (* -2 (/ (neg (log x)) n))) (* -2 (/ (neg (log x)) n)) -2 (/ (neg (log x)) n) (neg (log x)) (* -1 (/ (neg (log x)) n)) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (- (+ (* 1/2 (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) (* 1/2 (/ (- (* 1/2 (pow (* 2 (log (+ 1 x))) 2)) (* 1/2 (pow (* 2 (log x)) 2))) n))) (* 1/4 (/ (* (log (* x (+ 1 x))) (log (/ (* (+ 1 x) (+ 1 x)) (* x x)))) n))) n) (/ (- (+ (* -2 (/ (neg (log x)) (* n n))) (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x)))) (+ (* -1 (/ (neg (log x)) (* n n))) (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x))))) x) (- (+ (* -2 (/ (neg (log x)) (* n n))) (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x)))) (+ (* -1 (/ (neg (log x)) (* n n))) (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x))))) (+ (* -2 (/ (neg (log x)) (* n n))) (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x)))) (/ (neg (log x)) (* n n)) (+ (/ 1 n) (/ (+ 1 (neg (log x))) (* (* n n) x))) (/ (+ 1 (neg (log x))) (* (* n n) x)) (+ 1 (neg (log x))) (* (* n n) x) (+ (* -1 (/ (neg (log x)) (* n n))) (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x)))) (+ (* 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x))) (/ 1/2 (* n x))) 1/4 (/ (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* n x)) (+ (* 2 (/ (neg (log x)) n)) (* 2 (/ 1 n))) (* 2 (/ 1 n)) (* n x) (/ 1/2 (* n x))) |
| 83.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (pow (* x x) (/ 1 n))) (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (* (+ 1 x) (+ 1 x)) (+ 1 x) (pow (* x x) (/ 1 n)) (* x x) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (pow (+ 1 x) (/ 1 n)) (- (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) (/ (pow (* (+ 1 x) (+ 1 x)) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (/ (pow (* x x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) |
| 81.0ms | b | @ | -inf | ((/ (- (* (neg b) (+ a a)) (* (+ a a) (sqrt (+ (* b b) (* (* c a) -4))))) (* (+ a a) (+ a a))) (- (* (neg b) (+ a a)) (* (+ a a) (sqrt (+ (* b b) (* (* c a) -4))))) (* (neg b) (+ a a)) (neg b) b (+ a a) a (* (+ a a) (sqrt (+ (* b b) (* (* c a) -4)))) (sqrt (+ (* b b) (* (* c a) -4))) (+ (* b b) (* (* c a) -4)) (* (* c a) -4) (* c a) c -4 (* (+ a a) (+ a a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (* (+ (* (/ b (* c a)) 1/2) (neg (sqrt (* (/ 1 (* c a)) -1)))) c)) (* (+ (* (/ b (* c a)) 1/2) (neg (sqrt (* (/ 1 (* c a)) -1)))) c) (+ (* (/ b (* c a)) 1/2) (neg (sqrt (* (/ 1 (* c a)) -1)))) (neg (sqrt (/ -1 (* c a)))) (sqrt (/ -1 (* c a))) (/ -1 (* c a)) -1 (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+ a a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg (* (sqrt (* -4 a)) (sqrt c))) (* (sqrt (* -4 a)) (sqrt c)) (sqrt (* -4 a)) (* -4 a) (sqrt c) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (* (+ (* (/ b (* c a)) 1/2) (neg (sqrt (* (/ 1 (* c a)) -1)))) c)) (* (+ (* (/ b (* c a)) -1/2) (sqrt (/ -1 (* c a)))) c) (+ (* (/ b (* c a)) -1/2) (sqrt (/ -1 (* c a)))) (/ b (* c a)) -1/2) |
43 calls:
| 1.1s | x |
| 600.0ms | eps |
| 198.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 179.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 103.0ms | b |
Compiled 2 188 to 2 080 computations (4.9% saved)
| 26× | node-limit |
| 2× | saturated |
Compiled 25 692 to 6 922 computations (73.1% saved)
Compiled 156 015 to 67 546 computations (56.7% saved)
| 28× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 61.1% | 38.9% | 0% | 0% | 0% | 0 |
| 7.4% | 4.5% | 56.6% | 38.9% | 0% | 0% | 0% | 1 |
| 22.3% | 13.6% | 47.5% | 38.9% | 0% | 0% | 0% | 2 |
| 40.2% | 23.5% | 34.9% | 38.9% | 0% | 2.7% | 0% | 3 |
| 53.4% | 31.1% | 27.2% | 38.9% | 0% | 2.8% | 0% | 4 |
| 63% | 36.3% | 21.3% | 38.9% | 0% | 3.6% | 0% | 5 |
| 65.9% | 37.5% | 19.4% | 38.9% | 0% | 4.2% | 0% | 6 |
| 70.4% | 38.8% | 16.3% | 38.9% | 0% | 6% | 0% | 7 |
| 73.6% | 40.2% | 14.4% | 38.9% | 0% | 6.5% | 0% | 8 |
| 76.3% | 40.9% | 12.7% | 38.9% | 0% | 7.5% | 0% | 9 |
| 78.4% | 41.4% | 11.4% | 38.9% | 0% | 8.3% | 0% | 10 |
| 81.1% | 42.4% | 9.9% | 38.9% | 0% | 8.8% | 0% | 11 |
| 82.3% | 42.7% | 9.2% | 38.9% | 0% | 9.3% | 0% | 12 |
Compiled 483 to 337 computations (30.2% saved)
| 100× | binary-search |
| 17× | left-value |
| 96× | narrow-enough |
| 4× | predicate-same |
| 440.0ms | 5 393× | 0 | valid |
| 150.0ms | 567× | 2 | valid |
| 114.0ms | 1 190× | 0 | invalid |
| 110.0ms | 902× | 1 | valid |
| 4.0ms | 54× | 0 | exit |
| 0.0ms | 2× | 3 | valid |
| 0.0ms | 2× | 1 | exit |
Compiled 39 563 to 29 209 computations (26.2% saved)
ival-mult!: 185.0ms (30.8% of total)ival-pow: 88.0ms (14.6% of total)ival-sqrt: 81.0ms (13.5% of total)ival-div!: 77.0ms (12.8% of total)adjust: 42.0ms (7% of total)ival-add!: 34.0ms (5.7% of total)ival-neg: 34.0ms (5.7% of total)ival-sub!: 32.0ms (5.3% of total)ival-cos: 13.0ms (2.2% of total)ival-expm1: 7.0ms (1.2% of total)ival-cbrt: 6.0ms (1% of total)ival-exp: 2.0ms (0.3% of total)Loading profile data...